JEE Main 2025 Syllabus: A Detailed Breakdown for B.E./B.Tech., B.Arch., and B. Planning

The Joint Entrance Examination (JEE) Main is the cornerstone for aspirants seeking admission to India’s premier engineering and architecture institutions. For 2025, the syllabus remains structured to test conceptual clarity, analytical thinking, and problem-solving skills across three distinct papers. Below is a meticulously organized, point-by-point guide to the syllabus, tailored for B.E./B.Tech., B.Arch., and B.Planning aspirants.

Paper 1 (B.E./B.Tech.): Mathematics, Physics, and Chemistry

MATHEMATICS

1. Sets, Relations, and Functions
   • Sets: Representation, union, intersection, complement, power set.
   • Relations: Types (equivalence, reflexive), functions (one-one, onto), composition.
2. Complex Numbers and Quadratic Equations
   • Complex numbers as ordered pairs, Argand diagram, modulus, argument.
   • Quadratic equations: Roots, relations between coefficients, nature of roots.
3. Matrices and Determinants
   • Matrix algebra, types (symmetric, skew-symmetric), adjoint, inverse.
   • Determinants: Evaluation, area of triangles, solving linear equations.
4. Permutations and Combinations
   • Fundamental counting principle, permutations P(n,r)P(n,r), combinations C(n,r)C(n,r).
5. Binomial Theorem
   • Expansion for positive integral index, general/middle terms, applications.
6. Sequence and Series
   • Arithmetic/geometric progressions, AM-GM relationship, insertion of means.
7. Calculus
   • Limits & Continuity: Algebra of functions, polynomial/rational functions.
   • Differentiation: Chain rule, implicit functions, maxima/minima.
   • Integration: Substitution, partial fractions, definite integrals (area under curves).
8. Differential Equations
   • First-order linear equations, separation of variables.
9. Coordinate Geometry
   • Lines, circles, conic sections (parabola, ellipse, hyperbola).
10. 3D Geometry
    • Direction ratios/cosines, equations of lines/planes, shortest distance.
11. Vector Algebra
    • Scalar/vector products, components in 2D/3D.
12. Statistics & Probability
    • Mean, variance, Bayes’ theorem, probability distributions.
13. Trigonometry
    • Identities, inverse trigonometric functions.

Weightage Highlights:

• Calculus (30%), Algebra (20%), Coordinate Geometry (15%).

PHYSICS

1. Units & Measurements
   • SI units, dimensional analysis, error calculations.
2. Kinematics
   • Motion in 1D/2D, projectile motion, relative velocity.
3. Laws of Motion
   • Newton’s laws, friction, centripetal force, circular motion.
4. Work, Energy, Power
   • Work-energy theorem, conservation laws, collisions.
5. Rotational Motion
   • Moment of inertia, torque, angular momentum, parallel/perpendicular axes.
6. Gravitation
   • Kepler’s laws, gravitational potential, satellite motion.
7. Properties of Solids & Liquids
   • Elasticity, Bernoulli’s principle, viscosity, surface tension.
8. Thermodynamics
   • Laws of thermodynamics, isothermal/adiabatic processes.
9. Kinetic Theory of Gases
   • RMS speed, degrees of freedom, Avogadro’s number.
10. Oscillations & Waves
    • SHM, wave motion, superposition, beats.
11. Electrostatics & Current Electricity
    • Coulomb’s law, Gauss’s theorem, Kirchhoff’s laws, Wheatstone bridge.
12. Magnetism & EMI
    • Biot-Savart law, Faraday’s law, LCR circuits.
13. Optics & Modern Physics
    • Wave optics (interference, diffraction), photoelectric effect, semiconductors.
14. Experimental Skills
    • Vernier calipers, Ohm’s law, focal length experiments.

Weightage Highlights:

• Mechanics (35%), Electrodynamics (25%), Optics & Modern Physics (20%).

CHEMISTRY

Physical Chemistry

1. Basic Concepts
   • Mole concept, stoichiometry, empirical/molecular formulae.
2. Atomic Structure
   • Quantum mechanics, orbitals, electronic configuration.
3. Chemical Bonding
   • VSEPR theory, hybridization, molecular orbital theory.
4. Thermodynamics
   • Laws, enthalpy, entropy, Gibbs free energy.
5. Solutions & Equilibrium
   • Colligative properties, Le Chatelier’s principle, ionic equilibrium.

Inorganic Chemistry

1. Periodic Table
   • Trends in atomic radii, ionization enthalpy, oxidation states.
2. p-Block & d-Block Elements
   • Properties of Groups 13–18, transition metals (KMnO₄, K₂Cr₂O₇).
3. Coordination Compounds
   • Werner’s theory, IUPAC nomenclature, crystal field theory.

Organic Chemistry

1. Basics & Hydrocarbons
   • Isomerism, reaction mechanisms (Markovnikov, ozonolysis).
2. Functional Groups
   • Alcohols, phenols, carbonyl compounds (aldol condensation).
3. Biomolecules
   • Carbohydrates, proteins, nucleic acids, vitamins.

Practical Chemistry

• Qualitative analysis, titration methods, salt analysis (cations/anions).

Weightage Highlights:

• Organic Chemistry (40%), Physical Chemistry (30%), Inorganic Chemistry (30%).

Paper 2A (B.Arch.): Mathematics, Aptitude, and Drawing

Part I: Mathematics

• Syllabus mirrors Paper 1 (B.E./B.Tech.), with emphasis on geometry and algebra.

Part II: Aptitude Test

1. Visual & Spatial Reasoning
   • Pattern identification, texture analysis, 3D object visualization.
2. Mental Ability
   • Numerical/verbal reasoning, logical deductions.
3. Design & Geometry
   • Transformation of forms (2D to 3D), perspective drawing, scale/proportion.

Part III: Drawing Test

1. Sketching
   • Urban/rural landscapes, architectural elements (monuments, markets).
2. Geometrical Drawing
   • Abstract shapes, surface development, elevation generation.
3. Tools
   • Use of pencils, geometry boxes, crayons.

Preparation Focus: Daily sketching practice, 3D visualization exercises.

Paper 2B (B.Planning): Mathematics, Aptitude, and Planning

Part I: Mathematics

• Same as Paper 1 (B.E./B.Tech.).

Part II: Aptitude Test

• Similar to B.Arch. but emphasizes analytical reasoning and data interpretation.

Part III: Planning

1. General Awareness
   • Urban development schemes (Smart Cities, AMRUT), sustainability.
2. Social Sciences
   • Population dynamics, resource management, economic sectors.
3. Critical Thinking
   • Map reading (scale, direction), statistical analysis (graphs, charts).

Preparation Focus: Current affairs, case studies on urban/rural planning.

Exam Pattern Highlights

Preparation Strategies for 2025

1. Conceptual Mastery
   • Math: Prioritize calculus, coordinate geometry.
   • Physics: Strengthen mechanics and electrodynamics.
   • Chemistry: Focus on reaction mechanisms (organic) and periodic trends (inorganic).
2. Mock Tests & Analysis
   • Solve previous years’ papers (2019–2024) to identify patterns.
   • Use apps like NTA Abhyas for timed practice.
3. Revision Techniques
   • Create flashcards for formulas (e.g., integration rules, lens maker’s formula).
   • Use mnemonics for periodic table trends (e.g., OIL RIG for redox reactions).
4. Aptitude & Drawing
   • Practice daily sketching (perspective, shadows).
   • Solve spatial reasoning puzzles (e.g., cubes, unfolded shapes).
5. Health & Time Management
   • Allocate 8–10 hours daily with breaks for physical activity.
   • Use the Pomodoro Technique (25-minute study, 5-minute rest).